Plasma Approach to Describing the Electric Dynamics of a Neuron |
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Authors: | A A Berezin |
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Institution: | 1. Oil and Gas Research Institute, Gubkin State Academy of Oil and Gas, Leninski?pr. 65, Moscow, 117917, Russia
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Abstract: | The electric excitation of a neuron is interpreted as the formation of a nonlinear solitary ion acoustic wave of the charge density of sodium and hydrogen ions in an electrolytic intracellular fluid, which is treated as a dense plasma. It is shown that such a wave can be described by the coupled sine-Gordon and Korteweg-de Vries equations, having a solution in the form of a soliton whose internal vibrational structure is described by the Fermi-Pasta-Ulam spectrum. It is concluded that a nerve impulse can be interpreted as a low-frequency solitary wave of the charge density of sodium ions with a trapped high-frequency charge density wave of protons. |
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